Results 21 to 30 of about 225 (57)

On uniqueness of the Laplace transform on time scales [PDF]

, 2011
After introducing the concept of null functions, we shall present a uniqueness result in the sense of the null functions for the Laplace transform on time scales with arbitrary graininess.
Karpuz, Basak
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Time-Fractional Optimal Control of Initial Value Problems on Time Scales

, 2019
We investigate Optimal Control Problems (OCP) for fractional systems involving fractional-time derivatives on time scales. The fractional-time derivatives and integrals are considered, on time scales, in the Riemann--Liouville sense.
A Ahmadkhanlu, A Cabada, AB Malinowska, B Bayour, Benaoumeur Bayour, Benaoumeur Bayour, D Baleanu, D Baleanu, D Idczak, D Mozyrska, E Hernández, EG Bajlekova, ER Nwaeze, G Mophou, GM Bahaa, GM Mophou, GSF Frederico, GSF Frederico, I Podlubny, K Mekhalfi, L Bourdin, M Bohner, M Bohner, MC Caputo, Monika Dryl, Moulay Rchid Sidi Ammi, Moulay Rchid Sidi Ammi, N Benkhettou, N Benkhettou, N Benkhettou, N Benkhettou, N Özdemir, NRO Bastos, NRO Bastos, NRO Bastos, O Lavrova, OP Agrawal, OP Agrawal, R Almeida, RP Agarwal, RP Agarwal, S Abbas, T Abdeljawad, Thabet Abdeljawad   +43 more
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Three-point boundary value problems with delta Riemann-Liouville fractional derivative on time scales [PDF]

, 2016
In this paper, we establish the criteria for the existence and uniqueness of solutions of a three-point boundary value problem for a class of fractional differential equations on time scales.
Liceli, Onur, Yaslan, İsmail
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Some new dynamic Inequality on time scales in three variables

, 2016
In this paper we obtain the estimates on some dynamic integral inequalities in three variables which can be used to study certain dynamic equations.
Pachpatte, Deepak B.
core   +2 more sources

Delta-Nabla Optimal Control Problems

, 2010
We present a unified treatment to control problems on an arbitrary time scale by introducing the study of forward-backward optimal control problems. Necessary optimality conditions for delta-nabla isoperimetric problems are proved, and previous results ...
Agnieszka B Malinowska, Aulbach B., Bohner M., Delfim FM Torres, Ewa Girejko, Girejko E., Malinowska AB, Malinowska AB   +7 more
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Necessary optimality conditions for infinite horizon variational problems on time scales [PDF]

, 2012
We prove Euler-Lagrange type equations and transversality conditions for generalized infinite horizon problems of the calculus of variations on time scales.
A. B. Malinowska, A. B. Malinowska, A. B. Malinowska, A. B. Malinowska, D. F. M. Torres, G. Leitmann, M. Bohner, M. Bohner, M. C. Caputo, N. Martins, N. Martins, N. Martins, S. Lang   +12 more
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Transversality Conditions for Infinite Horizon Variational Problems on Time Scales

, 2010
We consider problems of the calculus of variations on unbounded time scales. We prove the validity of the Euler-Lagrange equation on time scales for infinite horizon problems, and a new transversality condition.Comment: Submitted 6-October-2009; Accepted
A.B. Malinowska, A.C. Chiang, Agnieszka B. Malinowska, B. Beavis, C.C. Von Weiszacker, D. Cai, D. Gale, D. Kravvaritis, Delfim F. M. Torres, F. Giannessi, F. Ramsey, F.M. Atici, F.M. Atici, F.M. Atici, I.E. Schochetman, M. Bohner, M. Bohner, M. Bohner, M. Bohner, N. Martins, Natália Martins, P. Michel, P.M. Pardalos, P.S. Dasgupta, R. Almeida, R. Okomura, S. Lang, T. Kamihigashi, W.A. Brock, Z. Bartosiewicz   +29 more
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Converses of nabla Pachpatte-type dynamic inequalities on arbitrary time scales

Demonstratio Mathematica
Reverse Pachpatte-type inequalities are concave generalizations of the well-known Bennett-Leindler-type inequalities. We establish reverse nabla Pachpatte-type dynamic inequalities taking account of concavity.
Kayar Zeynep, Kaymakçalan Billur
doaj   +1 more source

Well-posedness and maximum principles for lattice reaction-diffusion equations

Advances in Nonlinear Analysis, 2017
Existence, uniqueness and continuous dependence results together with maximum principles represent key tools in the analysis of lattice reaction-diffusion equations.
Slavík Antonín, Stehlík Petr, Volek Jonáš   +2 more
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Some special functions and cylindrical diffusion equation on α-time scale

Demonstratio Mathematica
This article is dedicated to present various concepts on α\alpha -time scale, including power series, Taylor series, binomial series, exponential function, gamma function, and Bessel functions of the first kind.
Silindir Burcu, Tuncer Zehra, Gergün Seçil, Yantir Ahmet   +3 more
doaj   +1 more source